Finding the Third Proportional to 24,543 and 54,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,543 : 54,553.50 = 54,553.50 : x
2. Step 2: Convert to fraction form
   24,543/54,553.50 = 54,553.50/x
3. Step 3: Cross multiply
   24,543x = 54,553.50 × 54,553.50
4. Step 4: Simplify right side
   24,543x = 2,976,084,362.25
5. Step 5: Solve for x
   x = 2,976,084,362.25/24,543
6. Step 6: Final answer
   x = 121,260.01